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13427040 = 2535112543
BaseRepresentation
bin110011001110…
…000101100000
3221021011102210
4303032011200
511414131130
61155442120
7222061614
oct63160540
927234383
1013427040
117640a30
1245b6340
132a216c3
141ad7344
1512a35b0
hexcce160

13427040 has 96 divisors (see below), whose sum is σ = 46158336. Its totient is φ = 3253760.

The previous prime is 13427039. The next prime is 13427047. The reversal of 13427040 is 4072431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13426998 and 13427016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13427047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009 + ... + 6551.

It is an arithmetic number, because the mean of its divisors is an integer number (480816).

Almost surely, 213427040 is an apocalyptic number.

13427040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079168).

13427040 is an abundant number, since it is smaller than the sum of its proper divisors (32731296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13427040 is a wasteful number, since it uses less digits than its factorization.

13427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13427040 is about 3664.2925647388. The cubic root of 13427040 is about 237.6804316795.

Adding to 13427040 its reverse (4072431), we get a palindrome (17499471).

The spelling of 13427040 in words is "thirteen million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2543 2640 5086 5280 7629 10172 12715 15258 20344 25430 27973 30516 38145 40688 50860 55946 61032 76290 81376 83919 101720 111892 122064 139865 152580 167838 203440 223784 244128 279730 305160 335676 406880 419595 447568 559460 610320 671352 839190 895136 1118920 1220640 1342704 1678380 2237840 2685408 3356760 4475680 6713520 13427040